Echoes of 2HDM inflation at the collider experiments
Tanmoy Modak, Kin-ya Oda

TL;DR
This paper explores how collider experiments and Higgs inflation constraints jointly restrict the parameter space of the general two Higgs doublet model, highlighting near-degenerate Higgs bosons as a key feature.
Contribution
It demonstrates the correlation between inflationary and collider constraints on 2HDM, emphasizing the near-degeneracy of Higgs bosons in the inflation-favored region.
Findings
Collider searches constrain sub-TeV Higgs masses.
Near-degenerate Higgs bosons are predicted in the inflation-favored region.
Future colliders can probe the near-degenerate Higgs spectrum.
Abstract
We study the correlation between the constraints on general two Higgs doublet model from Higgs inflation and from collider experiments. The parameter space receives meaningful constraints from direct searches at the Large Hadron Collider and from flavor physics if , , and are in the sub-TeV range, where , , and are the CP even, CP odd, and charged Higgs bosons, respectively. We find that in the parameter region favored by the Higgs inflation, , , and are nearly degenerate in mass.We show that such near degeneracy can be probed directly in the upcoming runs of the Large Hadron Collider, while the future lepton colliders such as the International Linear Collider and the Future Circular Collider would provide complementary probes.
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